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Proof step 28 from proof inv-recover (previous step)

remove-refsize0(gstore3) = gstore3, elems nx3 ∩ jro3 = ∅, dom gstore3 ∪ elems nx3 = dom gstore2 ∪ jro3, jro2 < jmaxino3, jro5 < jmaxino0, fi1.inos < jmaxino3, fi4.inos < jmaxino0, inv(gstore2 \ jro3), inv(gstore3), refsize-cons(gstore2, range fi1), refsize-cons(gstore3, range fi4), ri-inj(fi1), ri-inj(fi4), jmaxino0 ≤ jmaxino3, fi1.lebs ⊆ dom gstore2, fi4.lebs ⊆ dom gstore3, jvalid0 ∧ nx3 ≠ [] → valid-journal-head(nx3, gstore2, jro3) ⊦ jmaxino0 = 0, jmaxino3 = 0, dups(nx3), elems nx3 ∩ jro3 = ∅ ∧ elems nx3 ⊆ dom crash(gstore2, gstore3, jro3, nx3) ∧ inv(crash(gstore2, gstore3, jro3, nx3))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
remove-refsize0(gstore3) = gstore3, elems nx3 ∩ jro3 = ∅, dom gstore3 ∪ elems nx3 = dom gstore2 ∪ jro3, fi4.inos < jmaxino0, fi1.inos < jmaxino3, jro5 < jmaxino0, jro2 < jmaxino3, inv(gstore3), inv(gstore2 \ jro3), refsize-cons(gstore3, range fi4), refsize-cons(gstore2, range fi1), ri-inj(fi4), ri-inj(fi1), jmaxino0 ≤ jmaxino3, fi4.lebs ⊆ dom gstore3, fi1.lebs ⊆ dom gstore2, jvalid0 ∧ nx3 ≠ [] → valid-journal-head(nx3, gstore2, jro3) ⊦ jmaxino0 = 0, jmaxino3 = 0, dups(nx3), inv(crash(gstore2, gstore3, jro3, nx3))

Rule argument

Additional information

Used simplifier rules: ⊦ ns ∪ elems nx = dom gstore ∪ ginval → elems nx ⊆ dom gstore ∪ ginval; (s)%unc: ⊦ ns ∪ ns0 = ns0 ∪ ns; from specification set-union[nat-set]%una: ⊦ (ns ∪ ns0) ∪ ns1 = ns ∪ ns0 ∪ ns1; from specification set-union[nat-set]% ⊦ dom crash(gstore, gstore0, ginval, nx) = dom gstore ∪ ginval; (s)